| A | B |
|---|
| What is the Alternate Interior Angles Theorum? | If two parallel lines are intersected by a transversal, then the alternate interior angles are congruent. |
| What is the Corresponding Angles Theorum? | If two parallel lines are intersected by a transversal, then the corresponding angles are congruent. |
| What is the Same Side Interior Angles Theorum? | If two parallel lines are intersected by attransversal, then same-side interior angles are supplementary. |
| What is the Dual Parallel Theorem? | If two lines are both parrallel to a third line, then the two lines are parrallel |
| What is the Dual Perpindicular Theorum? | In a plane, if two lines are both perpendicular to a third line, then the two lines are parallel. |
| Two lines that are not parallel intersect. | Sometimes |
| Two lines parallel to the same line are parallel. | Always |
| What is the Converse of the Corresponding Angles Theorum? | If two lines are intersected by a transversal, and corresponding angles are congruent,then the lines are parallel. |
| What is the Converse of the Alternate Interior Angles Theorum? | If two lines are intersected by a transversal and alternate interior angles are congruent, then the lines are parallel. |
| What is the Same-Side Interior Angles Theorum? | If two lines are intersected by a transversal and same-side interior angles are supplementary, then the lines are parallel. |
| How do you find the distance from a piont to a line? | The length of the perpindicular segment from the piont to the line. |
| How do you find the distance from a point to a plane? | The length of the perpindicular segment from the point to the plane. |
| What is a trapezoid? | A quadrilateral with exactly one pair of parallel sides called bases, and two other sides called legs. |
| What is a transversal? | A line that intersects two or more other lines in the same plane at different pionts. |
| A ________ is a type of proof that uses arrows to show the logical connections of the statements. | Flow Proof |
| Find the next number in the pattern: 12,10,9,7,6.... | 4 |
| Find the next number in the pattern: 3,4,6,10,18.... | 34 |
| What is inductive reasoning? | A prediction based on several examples. |
| If a=3 and b=2, then evaluate 5a-6b | 3 |
| What is a reflection? | A transformation the flips a figure over a line. |
| What is a rotation? | A transformaion in which every point moves along a circular path around a fixed point called the center of rotation |
| What is a translation? | A transformation that slides each point of a figure the same distance in the same direction. |
| What is a Conditional Statement? | A statement that can be written in the form "If P, then Q." |
| Identify the hypothisis and conclution of this conditional statement: "I'll go to the game if I have enough time" | hypothisis: if I have enough time; conclution: I'll go to the game |
| What are collinear points? | Points that are on the same line. |
| What are skew lines? | When two lines do not intersect and are not parallel. |
| What is the slope of a line with equation y=4x-2? | 4 |
| What are congruent segments? | Segments that are congruent in length. |
| What are congruent angles? | Angles that have the same measure. |
| What are angle bisectors? | Rays or lines that divide angles into two congruent angles. |
| What are right angles? | Angles that measure 90 degrees. |
| What are obtuse angles? | Angles that measure between 90 and 180 degrees. |
| What are acute angles? | Angles that mesure less than 90 degrees. |
| What are adjacent angles? | Two coplaner angles that share a vertex and a side, but do not overlap |
| What are linear pairs? | two adjacent angles that form a strait angle with their non-shared rays. |
| What are perpindicular lines? | Two lines that intersect to form right angles. |
| What are vertical angles? | non-adjacent angles, non-overlapping angles formed by two intersecting lines. |
| What are complementary angles? | Two angles whose measures add up to 90 degrees. |
| What are supplementary angles? | two measures whose measures add up to 180 degrees. |
| What is a scalene triangle? | A triangle with no congruent sides. |
| What is an isosceles triangle? | A triangle with atleast two congruent sides. |
| What is an equilateral triangle? | A triangle with three congruent sides. |
| What is a regular polygon? | A polygon that is both equilateral and equilangular. |
| What is the sum of the measures of the exterior angles of any poylgon? | 360 degrees |
| True or False: diagonals of parallelograms bisect each other | True |
| What is true of the oppisite sides and oppisite angles of parallelograms. | They are congruent |
| What is deductive reasoning? | Using facts, definitions, and accepted properties to reach a conclution. |
| What is a postulate? | a mathamatical term for a statement that is accepted without proof. |
| What is a the Reflexive Property? | a=a |
| What is the Symetric Property? | If a=b, then b=a |
| What is the Transitive Property? | If a=b and b=c, then a=c |
| What is the Addition Property? | If a=b, then a+c=b+c |
| What is the Subtraction Property? | If a=b, then a-c=b-c |
| What is a theorum? | A conjecture that can be proven true. |
| What is the Exterior Angle Theorum? | The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it. |
| What is the Vertical Angles Theorum? | States that vertical angles are congruent. |
| What is the converse of the statement: "If you are at Angel Falls, then you are at the tallest waterfall in the world." | If you are at the tallest waterfall in the world, then you are at Angle Falls." |
| What is the Pythagorean Theorem? | In a right triangle, the sum of the squares of the legs is the equal to the square of the length of the hypotenuse. |
| What is the Inverse of this statement: "If it is cold enough, it will snow." | If it does not get cold enough, it will not snow." |
| What is the contrapositive of this statement, "If it is cold enough, it will snow." | "If it does not snow, it is not cold enough." |
| What is the slope of a horizontal line? | 0 |
| What is the slope of a vertical line? | undefined |
| What is the slope intercept form of an equation of a line? | y=mx+b |
| Write the equation for a line with y-intercept 6 and slope -2. | y=-2x+6 |
| What is the definition of parallel lines? | Two non-vertical lines are parallel if and only if their slopes are equal. |
| What is the definition for perpindicular lines? | Two nonvertical lines are perpindicular if and only if the product of their slopes is negative one. |
| What is the equation of a circle with center (h,k)? | (x-h)2 + (y-k)2=r2 |
| Are lines y=2x=4 and y=2x=3 perpindicular? | No |
| Are lines y=3x=1 and y=-1/3 =6 | Yes |
| Are lines y=x-2 and y=x=4 parallel? | Yes |
| What is the equation for a line with slope 4 and y-intercept 1? | y=4x+1 |
| What is the equation for a line with slope 2 and y-intercept -4? | y=2x-4 |
| What is the Triangle Inequality Theory? | The sum of the lengths of any two sides of a triangle is greater than the length of the third side, and one side of a triangle is longer than a second side if and only if the angle oppisite the first side is larger than the angle oppisite the second side. |
| Can a triangle be formed with the side lengths 5,6, and 9? | Yes |
| Can a triangle be formed with side lengths 7, 9, and 18? | No |
| Can a triangle be formed with the side lengths 8, 10, and 14? | Yes |
| What is the Side-Side-Side Postulate? | If three sides of a triangle are congruent to three sides of another triangle, then the triangles are congruent. |
| What is the Side-Angle-Side Postulate? | If two sides and the included angle of one triangle are congruent to two sides and the included side of another triangle, then the triangles are congruent. |
| What is the Angle-Side-Angle Postulate? | I two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. |
| What is the Angle-Angle-Side Postulate? | If two angles and a non-included side of one triangle are congruent to the correspondinf parts of another triangle, then the triangle are congruent. |
| What is the Hypotenuse-Leg Theorum? | If the hypotenuse and a leg of one right triangle are congruent to the corresponding parts of another right triangl, then the triangles are congruent. |
| What is the Isosceles Triangle Theorum | If two sides of a triangle are congruent, the angles opposite the sides are congruent. |
| What is the Converse of the Isosceles Triangle Theorum? | If two angles of a triangle are congruent, then the opposite sides of the angles are congruent. |
| What is the median of a triangle? | a segment from a vertex to the midpoint of the opposite side. |
| What is the altitude of a triangle? | a segment from a vertex to the midpoint of the opposite side. |
| Is there an SSA postulate? | No |
| What is the base of an Isosceles Triangle? | The part of an isosceles triangle that is opposite the isosceles triangle's vertex. |
| What is the Substitution Property? | If a=b, then a can be substituted for b(and b for a) in an expression. |
| What is the distance between point A(4,6) and point B(2,6)? | 2 |
| What is the midpoint of the line segment with endpoints (8,6) and (6,0)? | (7,3) |
| What the slope of a line that contains points (8,6) and (6,0)? | 3 |
